To be considered 18-karat (18K) gold, a piece of jewelry must be made of 75% pure gold. The higher the karats, the more valuable a piece of jewelry. A jewelry designer is purchasing a large quantity of 18K gold from a new supplier. To see whether the new supplier is being dishonest about the karat rating in the shipment, the designer melts a random sample of the gold and conducts a hypothesis test with H0: The proportion of metal that is gold is 75%, and Ha: The proportion of metal that is gold is less than 75%. What are a Type I error and a Type II error in this context?

Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.
Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.
Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.
Type II error: The gold shipment truly is made of less than 75% gold, and the designer concludes that it is made of less than 75% gold.
Type I error: The gold shipment truly is made of 75% gold, and the designer concludes that it is made of 75% gold.
Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.
Type I error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.
Type II error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.

Answers

Answer 1

Answer:

Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.

Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.

Step-by-step explanation:

Edge 2021

Answer 2

The type I error and type II errors for this condition are given by: Option A:

Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.

What are type I and type II errors?

The Type I error is false positive (returning the test result as positive, which means, rejecting the null hypothesis(conclusion of rejection of null hypothesis is called positive test result) when its incorrect).

The Type II error is false negative (returning the test result as negative, which means, accepting the null hypothesis(assuming negative test result, so no flaw in null hypothesis from the perspective of test) when its wrong).

For this case, the hypotheses laid down are:

Null hypothesis: H₀ : The proportion of metal that is gold is 75%, Alternate hypothesis: H₁ :  The proportion of metal that is gold is less than 75%.

Thus, we get:

Type I error = False positive = Falsely accusing null hypothesis to be incorrect = Concluding that the proportion of metal that is gold is less than 75% when actually the proportion of gold is 75%.

Type II error = False negative = Falsely accepting the null hypothesis = Concluding that the proportion of metal that is gold is 75% when actually the proportion of gold is less than 75%.

Therefore, the type I error and type II errors for this condition are given by: Option A:

Type I error: The gold shipment truly is made of 75% gold, but the designer concludes that it is made of less than 75% gold.Type II error: The gold shipment truly is made of less than 75% gold, but the designer concludes that it is made of 75% gold.

Learn more about type I and type II errors here:

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Related Questions


what is a conjecture ​

Answers

Answer:

a conjecture is a conclusion or a proposition which is suspected to be true due to preliminary supporting evidence, but for which no proof or disproof has yet been found.

Step-by-step explanation:

What is the sum of 4.5 x 10^3 and 2.5 x 10^2 ?

Answers

Answer:

4750

Step-by-step explanation:

you add the equation together and find the answer

Answer: 4500 and 250 = 4750

Step-by-step explanation: 10 to the power of 3 is 1000 because it’s 10x10x10 and if you multiply it by 4.5 it’s 4500 and then 10 times 10 is 100 times 2.5 is 250. And because we’re looking for the sum it wants the total so 4500 plus 250 is 4750

What is BD? Thank you!

Answers

Answer:

Option C.8 will be your answer

Step-by-step explanation:

[tex](bd) ^{2} = 4(16)[/tex]

[tex]bd = \sqrt{64} [/tex]

[tex]bd = 8[/tex]

hope it helps...

Justine signed up for a gym membership. The gym charges a one-time fee of $59 plus a monthly fee. Justine determines that she will pay a total of $557 for her gym membership after one year. How much does the gym charge per month?

Answers

The answer is 9.44067797

The gym charges $41.5 per month.

What is an expression?

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now it is given that,

One time fee of gym = $59

Justine will pay after one year = $557

So, gym fees per year = $557 - $59

⇒ gym fees per year = $498

∴ gym fees per month = gym fees per year / 12

⇒ gym fees per month = $498/12

⇒ gym fees per month = $41.50

Thus,the gym charges $41.50 per month.

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Somebody help me ??!!

Answers

*this answer i made was incorrect please avoid it*

Answer:

15

Step-by-step explanation:

Pythagoras theorem

a^2+b^2=c^2

12*12=144

9*9=81

144+81=225

sq root of 225 = 15


Jacque was selling bottles of water at the golf tournament Between 7 am and 8 am he sold 2 bottles of water, between 8 am and 9 am he sold 8 bottles, and between 9 am and 10 am he sold 32 bottles. If this trend
continues, how many bottles of water will he sell between 10 am and 11 am?
32
64
128
256

Answers

Answer:

128

Step-by-step explanation:

becuase 7-8 he sold 2

8-9 he sold 8

9-10 he sold 32

4*2= 8

4*2=32

4*32=128

Suppose an electronics manufacturer knows from previous data that 1.5% of
one type of an electronic component are defective. The quality control
inspector randomly selects components until a defective one is found. Is this
a binomial experiment? Why or why not?
A. This is a binomial experiment, because the situation satisfies all
four conditions for a binomial experiment.
B. This is not a binomial experiment, because the trials are not
independent
C. This is not a binomial experiment, because each trial cannot be
classified as a success or failure.
D. This is not a binomial experiment, because the number of trials is
not fixed.

Answers

Answer:B and D

Step-by-step explanation:

Answer: The answer is D: This is not a binomial experiment, because the number of trails is not fixed.

Step-by-step explanation: I took the test and chose the answer A and it was incorrect. The correct answer is D. I took the test on Ap3x.

Hope this helps

PLEASE HELP ILL MARK BRAINIEST

Answers

Answer:

Length of pendulum = 72 feet

Step-by-step explanation:

Given:

Time period (T) = 9.42

pi = 3.14

According to question,

T = 2 x pi x root(L/32)

9.42 = 2 x 3.14 x root(L/32)

9.42 = 6.28 × root (L/32)

9.42/6.28 = root(L/32)

1.5 = root(L/32)

Squaring both sides,

2.25 = L/32

L = 2.25 x 32

L = 72

Answer:

L=72

Step-by-step explanation:

T=2pi[tex]\sqrt{L/32\\}[/tex]

9.42 = (2 x 3.14)[tex]\sqrt{L/32}[/tex]

1.5=[tex]\sqrt{L/32}[/tex]

2.25 = L/32   (I squared both sides)

L=72

Hope this Helps

hello I need help please help me I will give you brianly if it Correct

Answers

Answer:

Option C.

Step-by-step explanation:

You can find this by doing ratios. 1/1.1266=x/700. Then, solve for x and you will get 621.3385.

Alfred wants to become a member of an online discussion forum. The website requires him to create a password. The password must consist of 5 characters, of which 3 must be letters and 2 must be digits. The first character of the password must be a letter. Also, repetition of the same letter in the password is not permitted but repetition of digits is permitted. How many possible ways can Alfred create the password?
So I know the answer is 9,360,000 but I got 18,720,000. This is because I thought the partition is 4! / (2! * 1! * 1!) but apparently the partition is 4! / (2! * 2!) and this confuses me. I thought that since the letters can't be repeated, we'd put one unique letter in one group, the other unique letter in the other group, and the two repeated digits in the last group. Can somebody explain this to me?

Answers

Answer:

Alfred can create the password in 9,360,000 possible ways

Step-by-step explanation:

Given the data in the questions;

Password of five characters must contain; three letters and 2 digits

[][][][][]

Now, using the five boxes above which as to be filled with three letters and two digits, such that; The first character of the password must be a letter and  repetition of the same letter in the password is not allowed while repetition of digits is allowed.

Now,

we know that there are 26 alphabets in English language, so the first box can be filled in 26 ways { must be a letter }

next four will be filed with two letters and two digits

so two boxes from the four can be chosen in the following ways;

⇒ ⁴C₂ = 4! / ( 2!(4-2)! = 24 / 4 = 6  { ways }

now for each choice, we can fill the chosen two boxes with letters in;

⇒ 25 × 24 = 600 { ways}

and the next two by digits; ( 0, 1, 2, ..... 9)

⇒ 10 × 10 = 100 { ways }

So in total, the possible number of ways he can create a password is;

⇒ 26 × 6 × 600 × 100

= 9,360,000 possible ways

Therefore, Alfred can create the password in 9,360,000 possible ways

Please can someone help me !!

Answers

Answer:

Step-by-step explanation:

for question 4, the x= 116 °  

they are just trying to show you that the degrees of the arc, is also the degrees of the angle from the center point of the circle.. and then they will get "tricky" with that idea :/

for question 5  x = 90 °

they just want you to recognize that a "tangent" line is  90 ° is all

for question 6 they want you to know this formula

(b -a) /2    where b = the bigger arc and a is the smaller arc

so (134 - 54) /2

80 / 2

40 °

the answer to 6 is 40 °

leave a comment if you want more explanation of how I got those :)

Yolanda will run more than 33 miles this week. So far, she has run 18 miles. What are the possible numbers of additional miles she will run?
Use t for the number of additional miles she will run.
Write your answer as an inequality solved for t.

Answers

Answer:

Based on the question, Yolanda will run less than 26 miles but more than 16 miles (because she has already attained 16 miles in total).

Step-by-step explanation:

sorry if im late

Find the mean of the sets of data:
2.
12, 67, 34, 10, 78, 78, 49
3. 10,10,13, 13, 45, 21, 67

Answers

Answer:

2.) 46.9        3.) 25.6

Step-by-step explanation:

Answer:

2. 46.857

3. 25.571

Step-by-step explanation:

Add all the numbers together and then divide by the number of numbers you added.

12+67+34+10+78+78+49=328

328/7=46.857

10+10+13+13+45+21+67=179

179/7=25.571

Is 1/4 equal to or less than 2/8

Answers

Answer: Equal to

Explanation: because if u multiply 1/4 by 2 it’s 2/8

Answer:

Equal to.

Step-by-step explanation:

We can prove this by multiplying the numerator and denominator by 2.

1 times 2 and 4 times 2 leaves you with 2/8, proving that the fractions are equal.

You can also show this by modeling it. Two 1/8 slices of pizza are together the same size as a single 1/4 slice of pizza.

solve the system of equations-6x+7y=9 and 2x-2y=-4

Answers

Answer:

y = -3 and x = -5

Step-by-step explanation:

Hi,

-6x + 7y = 9

2x - 2y = -4

Multiply the bottm equation by 3...

-6x + 7y = 9

6x - 6y = -12

Add...

y = -3

Now...

2x - 2 (-3) = -4

2x + 6 = -4

2x = -10

x = -5

Answer...

y = -3 and x = -5

need help please look at attachment​

Answers

Answer:

y = 1/2x + 2

Step-by-step explanation:

Perpendicular slope = 1/2

( -2, 1)

y - y1 = m(x - x1)

y - 1 = 1/2(x + 2)

y - 1 = 1/2x + 1

y = 1/2x + 2

Answer:

y1=+/2/5+1

y1+/15

/1=+5/36

-2=1/-/12

A pet sitter charges $84 for eight hours of work at this rate how much does the pet Sitter charge for seven hours of work?

Answers

Answer:

73.5

Step-by-step explanation:

84/8=10.5

10.5x7=73.5

a 24 foot tall streetlight casts a shadow that is 18 feet long. how long of a shadow is cast by a nearby parking meter post that is 4 feet high?

Answers

9514 1404 393

Answer:

  3 ft

Step-by-step explanation:

The post is 4/24 = 1/6 as tall as the streetlight, so we expect its shadow to be 1/6 as long as that of the streetlight:

  (1/6)(18 ft) = 3 ft

The parking meter post shadow is 3 feet long.

Mr. Haines drives 12 kilometers from home to work each day. How many meters are equal to 12 kilometers?

Answers

Answer:

12000 meters

Step-by-step explanation:

Answer:

12,000 m

Step-by-step explanation:

1 km = 1000 m

12 km = 12 * 1 km = 12 * 1000 m = 12,000 m

If f(x) = 3-x, what is f(2)?

Answers

Answer:

f(x) = 3 - x

x = 2

f(2) = 3 - 2

f(2) = 1

4. A map has a scale factor of 1 cm = 15 miles

How far apart are two towns on the map if they are 100 miles apart in real life?

can anyone help please?​

Answers

Answer:

6.67 cm

Step-by-step explanation:

since 1 cm is 15 miles we will divide 100 miles by 15 miles

100/15=6.67

now we will take out number and multiply it by the number of cm

6.67 x 1 = 6.67

so on the map they are 6.67 cm apart.

I greatly apologize if this is incorrect

3/4 divided by 1/4 help can you teach me how to do it to

Answers

Answer:

3/4 divided by 1/4 = 3

Step-by-step explanation:

When we divide two fractions, such as 3/4 ÷ 1/4, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.

We also simplify the answers to fraction problems whenever possible.

Answer:

3

Step-by-step explanation:

=(3/4)(4/1)

kcf (keep, change, flip)

so we're keeping 3/4 the same then we're changing it from division to multiplication and fliping 1/4 to 4/1 (as shown above)

3*4=12 and 4*1=4

so our new fraction is 12/4

12/4 is an improper fraction and 12 divided by 4 is 3

good luck :)

i hope this helps

have a great day !!

sjdjwkfmwkfkekfmkdekjejwje

Answers

Answer:

I think yes but it could be no. Sorry if I am wrong but it should be yes.

ANSWER ASAP WILL GIVE BRAINLIEST PLS HELP

Answers

Answer:

Step-by-step explanation:

11) Probability of Black is  1/4

12) P of  not orange is  3/4

13) P of blue or black is 1/2

this should be pretty easy for you, why is it tough?  don't say .. " it just is" say what  makes it tough.  I'm curious why this is difficult.   :?

A group of 10 friends shared 5 large cinnamon rolls equally. What fraction of a cinnamon roll does each person get. Explain your thinking.

Answers

answer: each friend had 2 cinnamon rolls so it would be 2/10

a fair coin is flipped four times . use a tree diagram to find the probability of observing. exactly two heads . enter youe answer as a percentage to the nearesr percent

Answers

The probability of observing exactly two heads when a fair coin is flipped four times is found to the nearest percent to be 38%.

What is probability?

It is the ratio that shows the likelihood of an event occurring out of all the other possible events.

The tree diagram is drawn. The tree diagram is labeled such that the red lines represent the number of times exactly two heads are observed. The total number of events where exactly two heads are observed = 6The total number of events = 16

∴ P( Getting exactly two heads when a coin is flipped four times) = 6/16 = 0.375

Convert the into percent as follows:

0.375*100 = 37.5%

≈ 38%

Therefore, we have found the probability of observing exactly two heads when the coins are flipped four times to the nearest percent as 38%.

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Simplify.
5a√2+3a√2


16a
8
8a

Answers

Answer:

8a[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Given

5a[tex]\sqrt{2}[/tex] + 3a[tex]\sqrt{2}[/tex] ← factor out [tex]\sqrt{2}[/tex] from each term

= [tex]\sqrt{2}[/tex] (5a + 3a)

= 8a[tex]\sqrt{2}[/tex]

art teacher has 450 sheets of construction paper on first day of school. students used 18 sheets during each school day. how many school days did the construction paper last?

Answers

Answer:

25

Step-by-step explanation:

025

18 |450

- 36

090

- 90

00

I'm not sure thinking reflection but do not want to confuse my child if he is right. He is thinking translation

Answers

Answer:

That is indeed a reflection

Step-by-step explanation:

Answer: translation is moving it an without rotating or flipping it should be reflection because you can’t do translation without flipping

P.S if it’s wrong I’m sorry but I should be factually correct.

the measures of the angles of a triangle are shown below. find the measure of the smallest angle ​

Answers

Answer:

Step-by-step explanation:

44+9x+18+5x+20=180

14x+82=180

14x=180-82=98

x=98/14=7

other angles are

9x+18=9×7+18=81°

and 5x+20=5×7+20=55°

so angles are 44°,55°,81°

so smallest angle=44°

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